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2次式の因数分解/2次方程式の解

Total questions: 12

Worksheet time: 20mins

Name
Class
Date
1.

因数分解せよ。

12a2b−6ab2−4ab12a^2b-6ab^2-4ab

2.

展開せよ。

(4x−5)2\left(4x-5\right)^2

3.

因数分解せよ。

x2+10x−39x^2+10x-39

4.

因数分解せよ。

y2−18y+81y^2-18y+81

5.

因数分解せよ。

abx2−16ababx^2-16ab

6.

因数分解せよ。

49x2−28xy+4y249x^2-28xy+4y^2

7.

因数分解せよ。

(x+5)2+10(x+5)+16\left(x+5\right)^2+10\left(x+5\right)+16

8.

(x−5)2=36\left(x-5\right)^2=36

a)
x = 11 or x = -1
b)
x = 1 or x = -11
c)
x = 5 or x = -5
d)
x = 6 or x = -6
9.

x2−12x+36=0x^2-12x+36=0

a)
x = 6
b)
x = 12
c)
x = -6
d)
x = 0
10.

x2+3x−54=0x^2+3x-54=0

a)
x = 6, x = -9
b)
x = 5, x = -10
c)
x = 7, x = -8
d)
x = 9, x = -6
11.

2x2+x−4=02x^2+x-4=0

a)

x=−1±334x=\frac{-1\pm\sqrt[]{33}}{4}

b)

x=−1±174x=\frac{-1\pm\sqrt[]{17}}{4}

c)

x=−1±332x=\frac{-1\pm\sqrt[]{33}}{2}

d)

x=−1±172x=\frac{-1\pm\sqrt[]{17}}{2}

12.

x(x−1)=−4(x−7)x\left(x-1\right)=-4\left(x-7\right)

a)

x = 5±1372\frac{5\pm\sqrt[]{137}}{2}

b)

x = −5±1372\frac{-5\pm\sqrt[]{137}}{2}

c)
x = 4, -7
d)
x = 3, 7